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Finding the Fourth Proportional to 2,263.41, 3,396.11 and 1,222.20

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Solution

The fourth proportional to 2,263.41, 3,396.11 and 1,222.20 is: 1,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.41 : 3,396.11 = 1,222.20 : x
  2. Step 2: Convert to fraction form
    2,263.41/3,396.11 = 1,222.20/x
  3. Step 3: Cross multiply
    2,263.41x = 3,396.11 × 1,222.20
  4. Step 4: Simplify right side
    2,263.41x = 4,150,719.53
  5. Step 5: Solve for x
    x = 4,150,719.53/2,263.41
  6. Step 6: Final answer
    x = 1,833.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.